Enveloping Operads and Bicolored Noncrossing Configurations

نویسندگان

Frédéric Chapoton

Samuele Giraudo

چکیده

An operad structure on certain bicoloured noncrossing configurations in regular polygons is studied. Motivated by this study, a general functorial construction of enveloping operad, with input a coloured operad and output an operad, is presented. The operad of noncrossing configurations is shown to be the enveloping operad of a coloured operad of bubbles. Several suboperads are also investigated, and described by generators and relations.

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